#3 Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly selected, what is the probability that the subject is not lying? Is the result close to the probability of 0.444 for a negative test result? No (Did Not Lie) Yes (Lied) Positive Test Results 13 42 Negative Test Results 30 14 probability that a randomly selected polygraph test subject was not lying is __________. (Type an integer or decimal rounded to three decimal places as needed.) The Is the result close to the probability, rounded to three decimal places, of 0.444 for a negative testresult? A. No, because there is less than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result. B. No, because there is more than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result. C. Yes, because there is less than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result. D. Yes, because there is more than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result. #6 The following data summarizes results from 961 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. Driver Intoxicated Not Intoxicated P (pedestrian was intoxicated or driver was intoxicated) = (Round to three decimal places as needed.) Intoxicated 81 210 Pedestrian Not intoxicated 75 595 _______________ #7 The table below summarizes results from a study of people who refused to answer survey questions. A market researcher is not interested in refusals or subjects below 22 years of age or over 59. Find the probability that the selected person refused to answer or is below 22 or is older than 59. Age 18-21 22-29 30-39 40-49 50-59 60 and Over Responded 75 257 247 138 140 204 Refused 13 22 35 28 37 59 The probability that a randomly selected person refused to answer the survey question or is below 22 or is older than 59 is _____________. (Do not round until the final answer. Then round to three decimal places as needed.) #8 For the given pair of events A and B, complete parts (a) and (b) below A: A marble is randomly selected from a bag containing 14 marbles consisting of 1 red, 9 blue, and 4 green marbles. The selected marble is one of the green marbles. B: A second marble is selected and it is the 1 red marble in the bag. a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.) b. Find P (A and B), the probability that events A and B both occur. a. Choose the correct answer below. A. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. B. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other and the 5% guideline can be applied in this case. C. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other and the 5% guideline cannot be applied in this case. D. The two events are independent because the 5% guideline can be applied in this case. b. The probability that events A and B both occur is ____________. (Round to four decimal places as needed.) #9 Assume that a company hires employees on Mondays, Tuesdays, Wednesdays, or Thursdays Mondays, Tuesdays, Wednesdays, or Thursdays with equal likelihood. Complete parts (a) through (c) below a. If two different employees are randomly selected, what is the probability that they were both hired on a Tuesday? The probability is _____________ (Type an integer or a simplified fraction.) b. If two different employees are randomly selected, what is the probability that they were both hired on the same day of the weekday of the week? The probability is ____________ (Type an integer or a simplified fraction.) c. What is the probability that 8 people in the same department were all hired on the same day of the weekday of the week? Is such an event unlikely? The probability is _____________ (Type an integer or a simplified fraction.) Is such an event unlikely? A. No, because the probability that all 8 people were hired on the same day of the weekday of the week Is greater than 0.05. B. Yes, because the probability that all 8 people were hired on the same day of the weekday of the week less than or equal 0.05. C. No, because the probability that all 8 people were hired on the same day of the weekday of the week is less than or equal to 0.05. D. Yes, because the probability that all 8 people were hired on the same day of the weekday of the week is greater than 0.05. #10 Determine the written description of the complement of the given event. When nine televisions are tested, at least one of them is defective. Choose the correct answer below. A All of them are defective B More than one of them are free of defects C All of them are free of defects D None of them are free of defects #11 If a couple plans to have 5 children, what is the probability that there will be at least one boy? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one boy from 5 children? The probability is______________ Type an integer or a simplified fraction.) Can the couple be very confident that they will have at least one Boy? A. No because the probability is close to 0. B. Yes because the probability is close to 1. C. Yes because the probability is close to 0. D. No because the probability is close to 1. #12 Identical twins come from a single egg that split into two embryos, and fraternal twins are from separate fertilized eggs.Also, identical twins must be of the same sex and the sexes are equallylikely, and sexes of fraternal twins are equally likely. If a pregnant woman is told that she will give birth to fraternal twins, what is the probability that she will have one child of each sex? Use the data table below to find the probability. Sexes of Twins Identical Twins Fraternal Twins Boy/Boy 5 9 Boy/Girl 0 6 Girl/Boy 0 6 Girl/Girl 5 9 The probability is ________________ (Type an integer or a simplified fraction.) #13 Find the probability of winning a lottery with the following rule. Select the six winning numbers from 1,2,...,27. (In any order, No repeats) P(winning)= __________________ (Type an integer or a simplified fraction.) #14 When testing for current in a cable with ten color-coded wires, the author used a meter to test four wires at a time. How many different tests are required for every possible pairing of four wires? The number of tests required is ________________ #14 Winning the jackpot in a particular lotter requires that you select the correct four numbers between 1 and 38 and, in a separate drawing, you must also select the correct single number between 1 and 35. Find the probability of winning the jackpot. The probability of winning the jackpot is_______________ (Type an integer or simplified fraction.)